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Finding the Third Proportional to 113,707.13 and 176,554.69

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Solution

The third proportional to 113,707.13 and 176,554.69 is: 274,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,707.13 : 176,554.69 = 176,554.69 : x
  2. Step 2: Convert to fraction form
    113,707.13/176,554.69 = 176,554.69/x
  3. Step 3: Cross multiply
    113,707.13x = 176,554.69 × 176,554.69
  4. Step 4: Simplify right side
    113,707.13x = 31,171,557,678.22
  5. Step 5: Solve for x
    x = 31,171,557,678.22/113,707.13
  6. Step 6: Final answer
    x = 274,139.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.